$)$Does$$ $1$ dx$/$x$+$x$^2$ convergeordiverge?Chooseall thatapply. $$ Diverges,becauseforx$1,1/$x$+$x$^2>1/$x$^2$ and$$ $1/$dx x$^2$ diverges. $$ Diverges,becauseforx$1,1//$x$+$x$^2>1/$x and$$ $1/$ dx $$x diverges. $$ Converges,becauseforx$1,1$x$+$x$^2<1/$ x$^2$ and$$ $1/$ dx x$^2$ converges. $$ Converges,becauseforx$1,1/^$x$+$x$^2<1/$x and$$ $1/$ dx $$x converges. $$ Noneoftheaboveapply